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Finding the Third Proportional to 78,972 and 125,028

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Solution

The third proportional to 78,972 and 125,028 is: 197,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,972 : 125,028 = 125,028 : x
  2. Step 2: Convert to fraction form
    78,972/125,028 = 125,028/x
  3. Step 3: Cross multiply
    78,972x = 125,028 × 125,028
  4. Step 4: Simplify right side
    78,972x = 15,632,000,784
  5. Step 5: Solve for x
    x = 15,632,000,784/78,972
  6. Step 6: Final answer
    x = 197,943.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.